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Improved Fixed Point Iterative Methods for Tensor Complementarity Problem

Author

Listed:
  • Ge Li

    (Xi’an Jiaotong University)

  • Jicheng Li

    (Xi’an Jiaotong University)

Abstract

In this paper, we propose two improved fixed point iterative methods for tensor complementarity problem (TCP), which decrease the number of fixed point iterations. First, based on the tensor splitting, we develop two-step fixed point iterative method and prove that this method converges to a solution of TCP. Then, we present subspace fixed point iterative method for TCP with $$\mathcal { L}$$ L -tensor and this method still holds the monotone convergence property. Numerical experiments illustrate the effectiveness of our proposed methods.

Suggested Citation

  • Ge Li & Jicheng Li, 2023. "Improved Fixed Point Iterative Methods for Tensor Complementarity Problem," Journal of Optimization Theory and Applications, Springer, vol. 199(2), pages 787-804, November.
    • Handle: RePEc:spr:joptap:v:199:y:2023:i:2:d:10.1007_s10957-023-02304-2
    DOI: 10.1007/s10957-023-02304-2
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